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math.NT2016
The adjoint map of the Serre derivative and special values of shifted Dirichlet series
Arvind Kumar
We compute the adjoint of the Serre derivative map with respect to the Petersson scalar product by using existing tools of nearly holomorphic modular forms. The Fourier coefficient…
math.NT2016
Construction of cusp forms using Rankin-Cohen brackets
Abhash Kumar Jha, Arvind Kumar
For a fix modular form g and a non negative ineteger ν, by using Rankin-Cohen bracket we first define a linear map on the space of modular forms. We explicitly compute th…